Artículo
A characterization of 3D steady Euler flows using commuting zero-flux homologies
Autor/es | Peralta Salas, Daniel
Rechtman, Ana Torres de Lizaur, Francisco Javier |
Departamento | Universidad de Sevilla. Departamento de Análisis matemático |
Fecha de publicación | 2020-02-10 |
Fecha de depósito | 2022-07-01 |
Publicado en |
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Resumen | We characterize, using commuting zero-flux homologies, those volumepreserving
vector fields on a 3-manifold that are steady solutions of the Euler equations
for some Riemannian metric. This result extends Sullivan’s ... We characterize, using commuting zero-flux homologies, those volumepreserving vector fields on a 3-manifold that are steady solutions of the Euler equations for some Riemannian metric. This result extends Sullivan’s homological characterization of geodesible flows in the volume-preserving case. As an application, we show that steady Euler flows cannot be constructed using plugs (as in Wilson’s or Kuperberg’s constructions). Analogous results in higher dimensions are also proved. |
Cita | Peralta Salas, D., Rechtman, A. y Torres de Lizaur, F.J. (2020). A characterization of 3D steady Euler flows using commuting zero-flux homologies. Ergodic theory and dynamical systems, 41 (7), 2166-2181. |
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